point
line
plane
collinear
coplanar
space
postulate
-Name points, lines, planes
-Use correct notation
-Name intersections
-Identify collinear, coplanar
sets of points, lines
-Sketch and label points,
lines, planes
-Determine whether
statements are always,
sometimes, or never true
P8:13-21
P9:26-39,43-38
P11:57-61
P129:24-29 (need more)
P131:48-49
p13
*We will include postulates on
P125 in CH 2 at this time
1.2
1
segment
between
congruent seg.
construction
-Apply "M is between P and
Q iff PM+MQ=PQ."
-Distinguish equal, congruent
-Use correct notation and
geometric symbols
-Use algebra to solve seg.
problems
P19:14-19, 21-32
P17: construction
P20:34
*omit measuring with rulers
*omit p22-24
1.3
2
distance
midpoint
seg. bisector
right triangle
legs
hypotenuse
-Find distance on a number
line
-Find distance in the coor.
plane
-Find the midpoint of a seg.
on number line and in coor.
plane
-Simplify square roots
-Use algebra to solve seg.
problems
-Given one endpoint and the
midpoint of a seg.,find the
other endpoint
-Identify segment bisector,
congruent segments
-Locate and identify legs
and hypotenuse of rt. tri.
-Apply the Pythagorean
Theorem
*cover basic Pyth.
Theorem here
*make connection bt
Pythagorean theorem
and distance formulas
1.4
1
ray
opposite rays
angle
sides of angle
interior of angle
exterior of angle
vertex
degree
right angle
obtuse angle
acute angle
angle bisector
cong. angles
-Name rays, angles, op. rays
-Measure and classify angles
-Identify angle bisector,
congruent angles
-Use algebra to solve angle
problems
P41:12-29
P42:30-35,37-42
P43:45-46,50-53
P39: construction
P40: construction
1.5
2
adjacent angles
linear pair
vertical angles
complementary
supplementary
perpendicular
-Identify and solve problems
involving special angle pairs
-Prove "Vertical angles are
congruent."
-Solve word problems using
angles pairs
-Solve problems with perp.
lines
-Make correct
assumptions (see P49)
P51:8-17,19-26
P52:27-32,34-41
P53:49-52
P55: construction
DG: pgs 49-50
CH 2
*consider alternative
assessments for CH 2
*We will do open notes
assessment
over proofs all year
2.1
.5
inductive reas.
conjecture
counterexample
-Make a conjecture based
on a pattern
-Find a counterexample to a
conjecture
-Identify and use inductive
reasoning
P93:14-27 some of
P94:31-34,40-43
P95:53
DG: pg 96-113
-Distinguish inductive/
deductive reasoning
-Apply law of detachment
and syllogism (need not
know the names)
P120:10-21
P121:29-34
(proofs should be
guided/done together)
DG: pg 114
2.5
.5
proof
theorem
-Explain the proof process
P129:30-31
2.6
1
algebraic proof
two-column proof
-Identify by name properties
of real numbers
-Identify and apply reflexive,
symmetric, and trans. prop.
of equality
-Fill in the blanks of a two-
column proof
-Write a two-column proof
with assistance
P137:9-12
P138:13-19
P139:23-26
2.7
1
Segment Addition
-Apply reflexive, symmetric,
transitive to segment cong.
-Write a two-column proof
P145:4
P146:6-7,9-12
P147:19
*help students create and
continually update a list
of properties, definitions,
theorems, etc. that can be
used in proofs. This is their
"Open Notes."
-Discover, prove and apply
key post. & theorems (P179)
-Use algebra to solve
angle problems
P181:11-19
P182:24-30,35
P183:37-39,42,44,46
P177 GSP
3.3
1
slope
rate of change
-Find slope of a line from
a graph
-Know and use slope form.
-Recognize and name 4
different types of slope
(+,-,0, und.)
-Use slope to determine
whether lines are par. or
perp.
P191:12-25,28-33
P192:34-35
P185 lab
3.4
2
slope-intercept form
point-slope form
-Write the equation of a line
in slope-intercept and/or
point-slope form
-Write equations of a line
parallel or perp. to a line
through a point
-Graph lines and write
equation from a graph
-From equations, tell if
lines are par., perp., or
neither
-Write the equation of a
perp. bisector of segment
*be sure
to use point-slope when
appropriate
*Cover P204
3.5
2
converses of 3.2
-Discover, prove and apply
key post. and theorems
P205 and P206
-Given select angle
measures, determine
which lines are parallel
-Prove lines parallel
-Solve related alg. probs.
-List cong. corr. parts of 2
congruent triangles
-Prove two triangles cong.
using CPCTC
P257:9-16
P258:21-24
P259:40-41
*skip algebra probs in this
section
4.4
.5
1.5 p
included angle
SSS
SAS
-Explore and apply SSS
and SAS
-Prove triangles congruent
using SSS and SAS
P267:5,6,8-13
P268:14-19,21-22
P269:24-26,30,
P264 construction
P265 construction
P269:32 const.
P271 const. proofs
*we have in the past
taught the ways to prove
on one day and done
proofs the next day
*not many non-proof
problems
*harder proofs such as
overlapping are mixed in
*skip algebra probs here
4.5
ext
.5
1.5 p
included side
ASA
AAS
HL
-Discover and apply ASA
and AAS
-Prove AAS
-Prove triangle congruent
using ASA and AAS
-Explore right triangle cong.
-Prove and apply HL
-Define and recognize the
congruence transformations
-Perform a congruence
transformation in a plane
P297:7-12
P298:17-20
P299:32-36
*Cover at beginning of CH 9
*Students should do
some transformations on
patty paper and in GSP
CH 5
*skip 5.4 indirect proof
*CH 5 is short; combine w
CH 4
*combine 5.3,5.5,5.6
with CH 4
*alternative assessment
of 5.1-5.2
5.1
2
perp. bisectors
concurrent lines
point of concurrency
angle bisector
circumcenter
incenter
-Sketch the perp. bisectors
of a triangle and find the
circumcenter
-Sketch the angle bisectors
of a triangle and find the
incenter
-Discover, prove and apply
the perp. bisector and angle
bisector theorems
-Discover the circumcenter
and angle bisector theorems
-Write the eq. of the perp.
bisector
P327:9-14
P328:21-26
P329:37,39,40
P330:50-51
P321 constructions
*sketching NOT true
constructing
*sketch practice in handouts
5.2
1
median
centroid
altitude
orthocenter
-Sketch the medians
of a triangle and find the
centroid
-Sketch the altitudes
of a triangle and find the
orthocenter
-Describe the location
of the pts of concurrency in
acute, obtuse and right
triangles
-Discover the centroid theor.
-Write the eq. of the median
and altitude
P338:5-10
P339:27-31
P340:38,42
P332 constructions
*helpful table P337
*do NOT find pts of concurr. in
coor. plane
*write eq. of concurrent
lines; problems on handout
5.3
.5
-Explore and apply key
theorems (P343,344)
-Given sides, list angle
measures from least to
greatest
-Given 2 angles, list sides
from shortest to longest
P346:8-19
P347:22-37
P348:39-41,46-48
*need more like P348:41
*skip prop. of inequality
*No ineq. proofs assigned
to students
5.5
.5
Tri. Ineq. Theorem
-Discover and apply the
Tri. Ineq. Theorem
-Given 2 side lengths, fine
the range of the 3rd side
-Classify polygons as
convex/concave, regular/not
-Define and identify a polygon
-Name a polygon by # of
sides up to 12
P61:11-16
P63:46-47
6.1
1.5
exterior angles
Polygon Int. < Sum
Polygon Ext. <
-Discover, derive and prove
for a specific polygon the
Interior Angles Sum Theor.
-Discover and prove for a
specific polygon the Ext.
Angles Sum Theorm
-Apply the Int. and Ext.
< Sum theorems
to regular and irregular poly.
-Given the measure of an
int. or ext. angle of a reg.
poly.find the number of sides
-Solve related algebra probs.
-Define and sketch a par.
-Discover, explore and prove
key theorems about par. on
P399 and P401
-Solve relate alg. probs.
-Analyze par. in the coor.
plane
-Apply properties of par.
to find missing sides/angles
-Discover, explore and prove
key theorems about proving
a quad is a par. P409
-Determine whether a
quad must be a par.
-Prove a quad is a par.
-Determine whether a
quad in the coor. plane
is a par.
-Find missing vertices
of a par. in coor. plane
-Solve related alg. probs.
-Define and sketch a rect.
-Discover and prove that
diagonals of a rect. are
congruent
-Discover and prove that a
par. with cong. diagonals is
a rectangle
-Solve related alg. probs.
-Prove a par. is a rect.
-Determine whether a quad
in coor. plane is a rect.
-Find the missing vertices of
a rect in coor. plane
-Apply properties of rect
to find missing sides/angles
P422:10-19
P423:20-31,33-36,39-40
P424:48-49
P423:37 const
6.5
1
rhombus
square
-Define and sketch a
rhombus and square
-Discover and prove key
theorems P426,428
-Apply prop. of rhombus
and square to solve for
missing sides/angles
-Solve related alg. probs.
-Find missing vertices in
coor. plane
-Determine if quad. in coor.
plane is a square or rhombus
-Prove a par. is a rhombus
or square
P431:7-16
P432:19-30,34-38
P433:47
P432:39-40 const
*P427: Venn diagram
6.6
2
trapezoid
kite
bases
legs of trapezoid
base angles
isosceles trapezoid
midsegment of trap
-Define and sketch a kite,
trapezoid, and isos trap
-Discover and prove key
theorems P435,437,439
-Apply prop. of kites, traps,
and isos. traps to find
missing sides/angles
-Solve related algebra probs
-Find missing vertices in
coor. plane
-Determine if quad in coor.
plane is kite or trap or isos.
-Prove a shape is a trap, kite
or isos. trap
*cover midsegment
*need more always,
sometime, never practice
CH 7
*no proofs for students in
this chapter
*skip most of 7.5
*skip 7.6, covered in CH 9
*skip 7.7 or do as project
7.1
.5
ratio
proportion
proportional
cross product
equivalent prop.
-Solve a proportion
-Apply a ratio
P461:21-28,31-33
P462:47,48
7.2
1
similar
similarity ratio
scale factor
similarity statement
-Define and recognize
similar polygons
-Determine if two polygons
are similar
-Write a similarity statement
-Use similarity to find
missing sides/angles/
perimeter
-Discover propotionality
of perimeter of sim shapes
-Explore AA Sim
-Explore and discuss proof
of SSS Sim and SAS sim
-Apply key post. and
theorems to prove triangles
similar
-Determine whether triangles
are similar or not
P479:9-11
P480:12-14,16,17
*skip reflex, trans, symm
*P478 helpful table
*careful about how
difficult algebra gets
7.4
1
midsegment of tri.
-Discover and prove key
theorems P484,485
-Discover corollaries about
parallel lines and prop.
-Apply key concepts to
set up and solve prop.
P489:10-13
P490:14-21
P491:33-38
P488 construction
P492:44-46
7.5
.5
Tri. Angle Bisector
theorem
P499:11-14
P500:20-23
*only cover theorem 7.11
on P498
*omit prop. of special
segments
CH 8
*NO student proofs
*omit 8-6,8-7
8.1
2
geometric mean
-Find the geometric mean of
two numbers
-Discover, prove and apply
theorem 8.1, P532
-Explore and apply key
theorems P533
P535:8-17
P536:18-23
P536:29-30
*watch difficulty of algebra
*review simplifying square
roots and rationalizing
8.2
1
Pythagorean triple
-Explore and apply Pyth.
Theorem (consider proving)
-Recognize a Pyth. triple
-Discover and apply converse
of Pyth theorem and ineq.
theorems, P544
-Classify a triangle as acute,
right, obtuse from side
lengths
P546:9-12,15-18
P547:21-33
P548:51
P540 hands on
*omit P550-551
8.3
2
-Discover and derive formulas
for 45-45-90 and 30-60-90
triangles
-Find the missing sides of
special right triangles
P556:8-17
P556:18-25,28-33
P557:37-38,41,43
8.4
1.5
trigonometry
trig ratio
sine
cosine
tangent
inverse sine, cos,
tan
-Memorize and apply trig
ratios
-Use trig to find missing
sides and angles in rt tri.
P567:16-21
P568:22-33,36-41
P569:42-45
P570:57-59
P561 TI-84
*omit P569:47-49
*omit P572
8.5
1.5
angle of elevation
angle of depression
-Apply trig to word problems
involving angles of elevation
and depression
P577:4-8
P578:all
P579:all
*need some problems
where student provides/draws
picture
CH 9
*cover 4.7 first
*skip 9.4,9.5,tesselations
*skip 9.6, cover with CH 7
*no proofs
*did not cover in 2010-2011
due to snow week
9.1
1
line of reflection
-Perform reflections
-Perform reflections in coor.
plan over axes and y=x
-Discover patterns in
coordinates as points
are reflected over axes or
y=x
P619:10-15
P620:18-29
9.2
1
-Perform translations
-Perform translations in
coor. plane
-Discover how to manipulate
coordinates
*can be taught without
vectors?
9.3
1
center of rotation
angle of rotation
-Perform rotation
-Perform rotations in coor.
plane
-Discover how to change
coordinates for 90, 180
and 270 degrees
P635:5-10
P636:14-19
P637:37
P631: hands on
CH 10
Students do informal or
paragraph proofs in this
chapter
10.1
.5
circle
center
radius
chord
diameter
congruent circles
concentric circles
circumference
pi
-Identify and name the parts
of a circle
-Find the circumference of
a circle
-Define and identify cong.
and concentric circles
-Relate radius, diameter,
and circumference
-Find circumference using
inscribed/circumscribed
shapes
P687:10-17
P688:18-21,28-33,36-39
P689:51
10.2
.75
central angle
arc
arc length
minor arc
major arc
semicircle
congruent arcs
adjacent arcs
-Identify, name and measure
arcs and central angles
-Find arc length
-Prove theorem 10.1, P693
-Apply Arc Addition Post.
-Solve related alg. probs.
-Prove and apply inscribed
angle theorem and other key
theorems, P710,711,712
P713:11-13
P714:14-31
P715:36-40
*students will need more
practice
10.5
.5
tangent
point of tangency
common tangent
circumscribed poly.
-Explore and apply theorem
10.10, P719 (proof is indirect)
-Prove and apply theorem
10.11, P720
-Sketch common tangents
-Find the perimeter of a
circumscribed polygon
P722:9-16
P723:17-22,24-29
P724:35,39
P720:construction
10.6
1
secant
-Prove and apply key
theorems concerning angles
formed by tangents, secants
P727-729
P732:8-16,18-23
P733:30-33
P734:37-39
*helpful table P731
10.7
1
-Explore and apply key
theorems relating lengths
of segments formed by
tangents, secants, P736,738
P740:6-13,16-21
*Students do not do these
proofs
10.8
1
-Derive and apply the
equations of a circle
-Given endpoints of a
diameter, write the eq.
P747:11-18,21-24,27,34
P743 NSpire
*Omit eq. from 3 pts,
CH 11
*derive formulas whenever
possible
*Cover 1.6 perimeter and area
first
1.6
.5
perimeter
area
-Find perimeter and area
of squares and rectangles
-Solve related word problems
-Given P or A and some
dimensions, find missing one
-Find P and A in coor. plane
11.1
1
base of par./tri.
height of par./tri.
-Find the perimeter and area
of parallelograms and
triangles
-Explore postulates on P763,
P765
-Given area and base or
height, find missing base
or height
-Use trig or special triangles
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
*exact form won't work
when using trig
*need some problems where
Pyth. Theorem is used
11.2
1
height of trapezoid
bases of trapezoid
-Find perimeter and area of
trapezoids, rhombi, kites
-Given area and all but one
dimension, find missing
dimension
-Use trig or special rt. tri.
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
P777:8-13
P778:18-21,23-24,26-27
P779:35,36,38
*Skip Area of Rhombus/Kites
*Helpful table P776
*omit dimensional analysis
*do more like P779:35, given
one h in par. find the other
11.3
1
sector of a circle
segment of a circle
-Find the area of a circle
-Find the area of a sector
or segment of a circle
-Given area of a circle, find
r or d
P785:14-23
P786:27-29,32-37
P787:40-42,45,46
11.4
2
center of reg. poly.
radius of reg. poly.
apothem
central angle
composite figure
-Find the area of a regular
polygon using trig or
special right triangles
-Find the area of composite
figures
P795:8-9
P796:10-13,15-20
P797:22-24
*omit P800-801
11.5
1
-Discover relationship
between area of similar
shapes
-Find the area of similar
shapes utilizing the scale
factor
-Given areas of similar
shapes, find scale factor
and missing dimensions
-Solve related word problems
P805:6-13
P806:14-15
CH 12
*Cover 1.7 first
*omit 12.1
*omit 12.7
*derive formulas when
possible
1.7
1
polyhedron
face
edge
vertex
prism
base
pyramid
cylinder
cone
sphere
surface area
volume
-Identify, name, and
analyze 3-D solids
P71:6-17
P821 drawing solids by hand
*omit platonic solids
*omit formulas, to be covered
in next sections
12.2
1
2 c
lateral face
lateral area
composite solid
-Find lateral area and
surface area of prisms
and cylinders
-Given LA or SA and some
dimensions, find missing one
-Solve related word problems
-Find surface area of
composites
P834:9-22
P835:24-27
P836:35-37
12.3
1
regular pyramid
slant height
right cone
-Find lateral area and
surface area of reg.
pyramids and right cones
-Given LA or SA and some
dimensions, find missing one
-Solve related word problems
-Use slant height and
altitude to find dimensions
of regular base
-Find surface area of
composites
P843:7-12
P844:14-17,23-25
P845:33-34
*helpful table P842
*composites after
cones and pyramids
12.4
1
1 c
-Find volume of prisms
and cylinders
-Given volume and some
dimensions, find missing one
-Solve related word problems
-Find the volume of
composites
P850:10-15
P851:16-19,21
P852:28-30,32-34
*include obliques
*cover composites after
12.5
1
-Find volume of pyramids
and cones
-Given volume and some
dimensions, find missing one
-Solve related word problems
-Find the volume of
composites
P860:10-16
P861:17-22,26-28
P862:32-34
*helpful table P859
12.6
.5 SA
.5 V
great circle
hemisphere
-Find SA and V of spheres
and hemispheres
-Given SA or V, find r
-Given SA or V, find the other
-Solve related word probs
-Find V and SA of
composites with spheres
and hemispheres
P868:10-25
P869:29-30
*cover SA with SA sections
*cover V with V sections
12.8
2
similar solids
-Discover relationship
between SA and V of similar
solids
-Find SA or V of similar
solids using scale factor
-Given SA or V of similar
solids, find scale factor
and missing dimensions
-Solve related word problems
line
plane
collinear
coplanar
space
postulate
-Use correct notation
-Name intersections
-Identify collinear, coplanar
sets of points, lines
-Sketch and label points,
lines, planes
-Determine whether
statements are always,
sometimes, or never true
P9:26-39,43-38
P11:57-61
P129:24-29 (need more)
P131:48-49
P125 in CH 2 at this time
between
congruent seg.
construction
Q iff PM+MQ=PQ."
-Distinguish equal, congruent
-Use correct notation and
geometric symbols
-Use algebra to solve seg.
problems
P20:34
*omit p22-24
midpoint
seg. bisector
right triangle
legs
hypotenuse
line
-Find distance in the coor.
plane
-Find the midpoint of a seg.
on number line and in coor.
plane
-Simplify square roots
-Use algebra to solve seg.
problems
-Given one endpoint and the
midpoint of a seg.,find the
other endpoint
-Identify segment bisector,
congruent segments
-Locate and identify legs
and hypotenuse of rt. tri.
-Apply the Pythagorean
Theorem
P20:1-6 (more needed)
P31:13-30
P32:33-56
P33:63
P34:68,70,72
P34:71
Theorem here
*make connection bt
Pythagorean theorem
and distance formulas
opposite rays
angle
sides of angle
interior of angle
exterior of angle
vertex
degree
right angle
obtuse angle
acute angle
angle bisector
cong. angles
-Measure and classify angles
-Identify angle bisector,
congruent angles
-Use algebra to solve angle
problems
P42:30-35,37-42
P43:45-46,50-53
P40: construction
linear pair
vertical angles
complementary
supplementary
perpendicular
involving special angle pairs
-Prove "Vertical angles are
congruent."
-Solve word problems using
angles pairs
-Solve problems with perp.
lines
-Make correct
assumptions (see P49)
P52:27-32,34-41
P53:49-52
DG: pgs 49-50
assessments for CH 2
*We will do open notes
assessment
over proofs all year
conjecture
counterexample
on a pattern
-Find a counterexample to a
conjecture
-Identify and use inductive
reasoning
P94:31-34,40-43
P95:53
DG: pg 96-113
truth value
negation
Venn diagrams
-Negate a statement
P103:48
disjunction
statement
if-then
hypothesis
conclusion
converse
inverse
contrapositive
logically equiv.
biconditional
form
-Write the related
conditionals
-Identify which cond. are
logically equivalent
P111:39-52
P112:59-61,62,65-67
P114:1-3
conditionals
prove
deductive reasoning
-Apply law of detachment
and syllogism (need not
know the names)
P121:29-34
(proofs should be
guided/done together)
DG: pg 114
theorem
two-column proof
of real numbers
-Identify and apply reflexive,
symmetric, and trans. prop.
of equality
-Fill in the blanks of a two-
column proof
-Write a two-column proof
with assistance
P138:13-19
P139:23-26
transitive to segment cong.
-Write a two-column proof
P146:6-7,9-12
P147:19
continually update a list
of properties, definitions,
theorems, etc. that can be
used in proofs. This is their
"Open Notes."
Cong. Sup. Theor.
Cong. Comp.
Theor.
Vertical Angles
Theor.
transitive to angle cong.
-Prove key
theorems P151 and P153
P156:33-34
DG: pg 122
3.5 on one quiz
*group 3.3,3.4,3.6 on other
skew lines
parallel planes
transversal
interior angles
exterior angles
cons. int. angles
alt. int. angles
alt. ext. angles
corr. angles
relationships between
pairs of angles formed
by a transversal
-Identify and name
relationships between
lines and planes
P175:38-43,46-50
DG: pg 128
Alt. int. <s ther.
Cons. int. <s ther.
Alt. ext. <s ther.
key post. & theorems (P179)
-Use algebra to solve
angle problems
P182:24-30,35
P183:37-39,42,44,46
rate of change
a graph
-Know and use slope form.
-Recognize and name 4
different types of slope
(+,-,0, und.)
-Use slope to determine
whether lines are par. or
perp.
P192:34-35
point-slope form
in slope-intercept and/or
point-slope form
-Write equations of a line
parallel or perp. to a line
through a point
-Graph lines and write
equation from a graph
-From equations, tell if
lines are par., perp., or
neither
-Write the equation of a
perp. bisector of segment
P201:31-40,43-49
P202:50-53,56,57,59
P204:1-6
to use point-slope when
appropriate
*Cover P204
key post. and theorems
P205 and P206
-Given select angle
measures, determine
which lines are parallel
-Prove lines parallel
-Solve related alg. probs.
P210:25-28,30-31,33-35
P211:38,40,41-43
distance from a
point to a line
-Solve a system of linear eq.
by graphing, subst., elim.
P18:1-15
P220:36-37
3 r
3 q/t
*skip 4.8
*Group 4.1-4.5 on 1st quiz
*Group 4.6, 5.3,5.5,5.6 on 2nd
equiangular triangle
equilateral triangle
obtuse triangle
right triangle
isosceles triangle
scalene triangle
and/or angles
-Solve alg. problems
involving triangle sides
-Sketch each triangle type
and the possible
combinations
P240:40-46,49-52
P241:57-64
remote int. angles
flow proof
Triangle Angle-Sum theor.
and Ext. Angle Theorem
-Complete with guidance a
flow proof
-Solve algebra problems
involving triangle angles
P249:17-22,24-29
P250:30-32,34-40
P251:44,47,49,50,51
corr. parts
CPCTC
congruent triangles
-Prove two triangles cong.
using CPCTC
P258:21-24
P259:40-41
section
1.5 p
SSS
SAS
and SAS
-Prove triangles congruent
using SSS and SAS
P268:14-19,21-22
P269:24-26,30,
P265 construction
P269:32 const.
P271 const. proofs
taught the ways to prove
on one day and done
proofs the next day
*not many non-proof
problems
*harder proofs such as
overlapping are mixed in
*skip algebra probs here
ext
1.5 p
ASA
AAS
HL
and AAS
-Prove AAS
-Prove triangle congruent
using ASA and AAS
-Explore right triangle cong.
-Prove and apply HL
P278:12
P279:17-20,24-25
P282:7-9,13-15
P281 lab
*only HL is different,
teach only it
base of isos. tri.
vertex angle
base angles
Isosceles Triangle
Theorem
isos. tri. theor. and converse
-Discover and apply
corollaries about equil. tri.
-Solve related algebra probs
P288:15-24
P289:29-32,34,38-39
290:49-50
P292-293 Inspire
cong. trans.
preimage
image
reflection
translation
rotation
congruence transformations
-Perform a congruence
transformation in a plane
P298:17-20
P299:32-36
*Students should do
some transformations on
patty paper and in GSP
*CH 5 is short; combine w
CH 4
*combine 5.3,5.5,5.6
with CH 4
*alternative assessment
of 5.1-5.2
concurrent lines
point of concurrency
angle bisector
circumcenter
incenter
of a triangle and find the
circumcenter
-Sketch the angle bisectors
of a triangle and find the
incenter
-Discover, prove and apply
the perp. bisector and angle
bisector theorems
-Discover the circumcenter
and angle bisector theorems
-Write the eq. of the perp.
bisector
P328:21-26
P329:37,39,40
P330:50-51
constructing
*sketch practice in handouts
centroid
altitude
orthocenter
of a triangle and find the
centroid
-Sketch the altitudes
of a triangle and find the
orthocenter
-Describe the location
of the pts of concurrency in
acute, obtuse and right
triangles
-Discover the centroid theor.
-Write the eq. of the median
and altitude
P339:27-31
P340:38,42
*do NOT find pts of concurr. in
coor. plane
*write eq. of concurrent
lines; problems on handout
theorems (P343,344)
-Given sides, list angle
measures from least to
greatest
-Given 2 angles, list sides
from shortest to longest
P347:22-37
P348:39-41,46-48
*skip prop. of inequality
*No ineq. proofs assigned
to students
Tri. Ineq. Theorem
-Given 2 side lengths, fine
the range of the 3rd side
P364:25-26
P365:38-41,44,45
Theorem and converse
P374:31-33,41
vertex
concave
convex
n-gon
equilateral
equiangular
regular
convex/concave, regular/not
-Define and identify a polygon
-Name a polygon by # of
sides up to 12
P63:46-47
Polygon Int. < Sum
Polygon Ext. <
for a specific polygon the
Interior Angles Sum Theor.
-Discover and prove for a
specific polygon the Ext.
Angles Sum Theorm
-Apply the Int. and Ext.
< Sum theorems
to regular and irregular poly.
-Given the measure of an
int. or ext. angle of a reg.
poly.find the number of sides
-Solve related algebra probs.
P395:30-37,39-43,45,46
P396:50,51
diagonal
opposite
consecutive
-Discover, explore and prove
key theorems about par. on
P399 and P401
-Solve relate alg. probs.
-Analyze par. in the coor.
plane
-Apply properties of par.
to find missing sides/angles
P404:15-20,23-24
P405:26-37
P406:39,42,43
key theorems about proving
a quad is a par. P409
-Determine whether a
quad must be a par.
-Prove a quad is a par.
-Determine whether a
quad in the coor. plane
is a par.
-Find missing vertices
of a par. in coor. plane
-Solve related alg. probs.
P415:21-27,30,32-33,
35-36
P416:41,44
*skip coor. proofs
-Discover and prove that
diagonals of a rect. are
congruent
-Discover and prove that a
par. with cong. diagonals is
a rectangle
-Solve related alg. probs.
-Prove a par. is a rect.
-Determine whether a quad
in coor. plane is a rect.
-Find the missing vertices of
a rect in coor. plane
-Apply properties of rect
to find missing sides/angles
P423:20-31,33-36,39-40
P424:48-49
square
rhombus and square
-Discover and prove key
theorems P426,428
-Apply prop. of rhombus
and square to solve for
missing sides/angles
-Solve related alg. probs.
-Find missing vertices in
coor. plane
-Determine if quad. in coor.
plane is a square or rhombus
-Prove a par. is a rhombus
or square
P432:19-30,34-38
P433:47
kite
bases
legs of trapezoid
base angles
isosceles trapezoid
midsegment of trap
trapezoid, and isos trap
-Discover and prove key
theorems P435,437,439
-Apply prop. of kites, traps,
and isos. traps to find
missing sides/angles
-Solve related algebra probs
-Find missing vertices in
coor. plane
-Determine if quad in coor.
plane is kite or trap or isos.
-Prove a shape is a trap, kite
or isos. trap
P441:16-21,24-32,34
P442:35-57
P443:59-61,67,68
*need more always,
sometime, never practice
this chapter
*skip most of 7.5
*skip 7.6, covered in CH 9
*skip 7.7 or do as project
proportion
proportional
cross product
equivalent prop.
-Apply a ratio
P462:47,48
similarity ratio
scale factor
similarity statement
similar polygons
-Determine if two polygons
are similar
-Write a similarity statement
-Use similarity to find
missing sides/angles/
perimeter
-Discover propotionality
of perimeter of sim shapes
P470:18-28
P471:29-30,35,36,40-45
P472:53,54
SSS Sim
SAS Sim
-Explore and discuss proof
of SSS Sim and SAS sim
-Apply key post. and
theorems to prove triangles
similar
-Determine whether triangles
are similar or not
P480:12-14,16,17
*P478 helpful table
*careful about how
difficult algebra gets
theorems P484,485
-Discover corollaries about
parallel lines and prop.
-Apply key concepts to
set up and solve prop.
P490:14-21
P491:33-38
P492:44-46
theorem
P500:20-23
on P498
*omit prop. of special
segments
*omit 8-6,8-7
two numbers
-Discover, prove and apply
theorem 8.1, P532
-Explore and apply key
theorems P533
P536:18-23
P536:29-30
*review simplifying square
roots and rationalizing
Theorem (consider proving)
-Recognize a Pyth. triple
-Discover and apply converse
of Pyth theorem and ineq.
theorems, P544
-Classify a triangle as acute,
right, obtuse from side
lengths
P547:21-33
P548:51
for 45-45-90 and 30-60-90
triangles
-Find the missing sides of
special right triangles
P556:18-25,28-33
P557:37-38,41,43
trig ratio
sine
cosine
tangent
inverse sine, cos,
tan
ratios
-Use trig to find missing
sides and angles in rt tri.
P568:22-33,36-41
P569:42-45
P570:57-59
*omit P572
angle of depression
involving angles of elevation
and depression
P578:all
P579:all
where student provides/draws
picture
*skip 9.4,9.5,tesselations
*skip 9.6, cover with CH 7
*no proofs
*did not cover in 2010-2011
due to snow week
-Perform reflections in coor.
plan over axes and y=x
-Discover patterns in
coordinates as points
are reflected over axes or
y=x
P620:18-29
-Perform translations in
coor. plane
-Discover how to manipulate
coordinates
vectors?
angle of rotation
-Perform rotations in coor.
plane
-Discover how to change
coordinates for 90, 180
and 270 degrees
P636:14-19
P637:37
paragraph proofs in this
chapter
center
radius
chord
diameter
congruent circles
concentric circles
circumference
pi
of a circle
-Find the circumference of
a circle
-Define and identify cong.
and concentric circles
-Relate radius, diameter,
and circumference
-Find circumference using
inscribed/circumscribed
shapes
P688:18-21,28-33,36-39
P689:51
arc
arc length
minor arc
major arc
semicircle
congruent arcs
adjacent arcs
arcs and central angles
-Find arc length
-Prove theorem 10.1, P693
-Apply Arc Addition Post.
-Solve related alg. probs.
P697:16-23,26-41
P698:45-50,52
P699:56-58
theorems, P701-703
P706:22-26
P707:29-32
intercepted arc
inscribed polygon
angle theorem and other key
theorems, P710,711,712
P714:14-31
P715:36-40
practice
point of tangency
common tangent
circumscribed poly.
10.10, P719 (proof is indirect)
-Prove and apply theorem
10.11, P720
-Sketch common tangents
-Find the perimeter of a
circumscribed polygon
P723:17-22,24-29
P724:35,39
theorems concerning angles
formed by tangents, secants
P727-729
P733:30-33
P734:37-39
theorems relating lengths
of segments formed by
tangents, secants, P736,738
proofs
equations of a circle
-Given endpoints of a
diameter, write the eq.
possible
first
area
of squares and rectangles
-Solve related word problems
-Given P or A and some
dimensions, find missing one
-Find P and A in coor. plane
height of par./tri.
of parallelograms and
triangles
-Explore postulates on P763,
P765
-Given area and base or
height, find missing base
or height
-Use trig or special triangles
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
P768:17-22,24-27,30-32
P769:33-34,39-40
when using trig
*need some problems where
Pyth. Theorem is used
bases of trapezoid
trapezoids, rhombi, kites
-Given area and all but one
dimension, find missing
dimension
-Use trig or special rt. tri.
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
P778:18-21,23-24,26-27
P779:35,36,38
*Helpful table P776
*omit dimensional analysis
*do more like P779:35, given
one h in par. find the other
segment of a circle
-Find the area of a sector
or segment of a circle
-Given area of a circle, find
r or d
P786:27-29,32-37
P787:40-42,45,46
radius of reg. poly.
apothem
central angle
composite figure
polygon using trig or
special right triangles
-Find the area of composite
figures
P796:10-13,15-20
P797:22-24
between area of similar
shapes
-Find the area of similar
shapes utilizing the scale
factor
-Given areas of similar
shapes, find scale factor
and missing dimensions
-Solve related word problems
P806:14-15
*omit 12.1
*omit 12.7
*derive formulas when
possible
face
edge
vertex
prism
base
pyramid
cylinder
cone
sphere
surface area
volume
analyze 3-D solids
*omit formulas, to be covered
in next sections
2 c
lateral area
composite solid
surface area of prisms
and cylinders
-Given LA or SA and some
dimensions, find missing one
-Solve related word problems
-Find surface area of
composites
P835:24-27
P836:35-37
slant height
right cone
surface area of reg.
pyramids and right cones
-Given LA or SA and some
dimensions, find missing one
-Solve related word problems
-Use slant height and
altitude to find dimensions
of regular base
-Find surface area of
composites
P844:14-17,23-25
P845:33-34
*composites after
cones and pyramids
1 c
and cylinders
-Given volume and some
dimensions, find missing one
-Solve related word problems
-Find the volume of
composites
P851:16-19,21
P852:28-30,32-34
*cover composites after
and cones
-Given volume and some
dimensions, find missing one
-Solve related word problems
-Find the volume of
composites
P861:17-22,26-28
P862:32-34
.5 V
hemisphere
and hemispheres
-Given SA or V, find r
-Given SA or V, find the other
-Solve related word probs
-Find V and SA of
composites with spheres
and hemispheres
P869:29-30
*cover V with V sections
between SA and V of similar
solids
-Find SA or V of similar
solids using scale factor
-Given SA or V of similar
solids, find scale factor
and missing dimensions
-Solve related word problems
P884:20-21